They seem more on -ear rather than fully over-ear (so the whole ear is covered). I would have thought this makes it more likely you can hear other noise, like neighbours, supermarket t-annoys, speaking colleagues.
The active-noise-cancelling (of Bose and others) from my understanding (and trying the two head phones albeit in the 40-70gbp range) just cancels out the drone of trains / planes or in my case the dehumidifier, not humans speaking, t-annoy in shops, sharpish sounds. This is what I am hoping an over-ear will block out (in addition to the droning sounds) so the best of both worlds
The challenge with passive noise canceling headphones is that they usually have to clamp tightly. I use T50p's they are really excellent but take time to get used to because they squeeze so tightly. They also have a wire so probably wouldn't meet your needs.
The Bose. Mine aren't the most recent (bought them 4,5 years ago), but I love them. Over the ears, comfortable, and extreme effective at cancelling noise. Perfect on the plane, you see the kid across the aisle yelling but you don't hear him. My only issue is that my 8-year old also loves them...
Otherwise I use Sennheiser in-ears earplugs, they don't cancel absolutely everything, but it's enough for the gym and the tram.
Unless you have giant ears the Bose QC35 are over ear. Traditionally Bose are the best noise cancelling headphones you can get, but Sennheisser and Sony have recently released some which compete with or are slightly better than the QC35. Can't remember the model numbers, but if you google qc35 competitors, I'm sure you'll find them. I'm very happy with the qc35s I picked up last year though.
To be honest there isn't anything out there that ticks all of your boxes that I could describe as good.
I suppose, as others have mentioned, the Bose QC35 is the best of a bad bunch, and they would suit your introversion as they look pretty bland.
If you can dispense with the wireless and the active noise cancelling then there are some phenomenal headphones out there with excellent isolation. The Sennheiser HD25 and Beyerdynamic DT1350 are both on ear with better isolation than my other full size closed headphones and in ears, and both sound excellent as well. the downside is that they both clamp pretty hard though.
I have the Bose QC25 and Sennheiser Momentum 2 Wireless.
I've had the older QC25 for a few years, really liked it but wanted to go wireless after the cable tripped over a glass of wine on one of my flights...
So I got the Sennheiser in January. Distinctly better sound quality than the Bose, but not as good on the noise cancellation part. Outside noise is quieter, but on the Bose, it is practically cut out. Most noise cancellation devices anyway only focus on the high or lower pitches, so you can always still hear people talking.
For daily commuting, the Sennheiser is really top-nocht. But for flights, I find myself valuing the noise cancellation of the Bose more. So I am thinking about selling by Sennheiser if you are interested. I've only used it for 2 long haul flights so far.
I have had the previous model for almost two years now and I would not want to miss it. They are over-ear and comfortable. I wear them everyday to/from work and in the office too! I wouldn't live with any other normal headphones anymore!
I'd go a bit further in this case; The Beyerdynamic DT770 is a preferred choice of drummers and has great isolation and comfort. You can get it in 80 ohm or 250 ohm if your headphone amp can drive it. I use this:
thank you for the suggestions, the two I bought already called themselves over ear but they really weren't big enough, it only takes a millimetre too small and it is uncomfortable.
I must have bigger than normal ears having said that I've never been called big ears though! so it makes me think that the space in the ear cup is for chinese ears or petite eared people..
I have to check the questions on amazon because sometimes someone asks about the size of the hole and someone will be a reply with measurements so it must be a concern for others.
the reason id like to test the sonys because they are digital-sound-cancelling which is supposed to be better/more expensive than the active noise cancelling. Has anyone perhaps tried the cheaper sony version?